Solution
Step 1
Write an expression for the area of sector

Where
θ = 52°
π = 3.14
r = 8cm
Step 2
Find the area of the sector after substitution of values into the formula above.

To the nearest tenth the area of the shaded sector of circle C = 29.0cm²
The commutative property states that you can invert the order of the terms of a sum:

So, if you start with

Applying the commutative property you'll get

Answer:
37°
Step-by-step explanation:
sum of exterior angles of a polygon is 360°
so, 41+(x+13)+(2x-14)+(3x-22)+(x-3)+38+(x+11)=360
8x+64=360, subtract 64 from both sides
8x=296
x=37°
Percentage of heads
= 53/100 x 100
=53%
percentage of tails
= 100-53
=47
=47/100 x100
= 47%
Answer:
x-intercept:
A line that crosses the graph at x-axis.
i.e substitute y = 0 and solve for x.
As per the statement:
A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsius, and the number of insect larvae (y) in the water
Given the graph:

Substitute y = 0 we have;

⇒
⇒
⇒
⇒
⇒
By zero product property we have;
x-20 =0 and x+10 = 0
⇒x = 20 and x = -10
Therefore, the x-intercept represents the water has no larvae at −10 degrees Celsius and 20 degrees Celsius.